Whip It is an unreasonably entertaining movie, causing you perhaps to revise your notions about women’s roller derby, assuming you have any.

The movie is a coming-together of two free spirits, Drew Barrymore and Ellen Page, and while it may not reflect the kind of female empowerment Gloria Steinem had in mind, it has guts, charm and a black-and-blue sweetness.

Yes, it faithfully follows the age-old structure of the sports movie — but what a sport, and how much the derby girls love it.

Page plays Bliss Cavendar, a small-town Texas girl who shares the rebelliousness of Juno but not the stream-of-consciousness verbal pyrotechnics. She’s being coached by her smothering mother (Marcia Gay Harden) to compete in a Miss Bluebonnet beauty pageant that squeezes Texas girls into a ghastly caricature of Southern womanhood. Bliss despises it.

One day she sees an ad for roller derby in Austin, the nearest town of consequence, and with a friend sneaks off to see a game. She is electrified. She was born to be a derby girl.

She begins a series of secret bus trips to Austin that last for an entire season — much too long for her parents not to notice, but never mind. She auditions in her pink Barbie clamp-ons for the Hurl Scouts team.

Lying about her age, against all odds she’s allowed by the coach, known as Razor (Andrew Wilson), to give it a try. The team veterans are dubious, but she has pluck and speed and doesn’t mind getting knocked around. It’s worth noting that Page and the other actresses, some of them real derby stars, do almost all their own skating.

She takes the name Babe Ruthless. Other competitors are known as “Maggie Mayhem” (Kristen Wiig), “Smashley Simpson” (Barrymore herself), “Bloody Holly” (Zoe Bell), “Rosa Sparks” (Eve) and “Eva Destruction” (Ari Graynor). Juliette Lewis is fiercely competitive as the leader of another team, “Iron Maven.” Such stage names, or track names, are common in roller derby, and one real-life derby girl is known as Sandra Day O’Clobber.

The screenplay is by a Los Angeles Derby Dolls star named Shauna Cross, the original Maggie Mayhem, based on her novel Derby Girl. It neatly balances Bliss’s derby career and her situation at home, where her dad (Daniel Stern) turns to pro sports on TV to escape his insufferable wife. Well, OK, she’s not insufferable, simply an extreme type of stage mother whose values, as her daughter informs her, are based on a 1950s idea of womanhood. Probably her poor mom was dominated by her own overbearing mother.

Bliss is at a hormonal age when she really likes cute boys and is drawn to a young rock band member named Oliver (Landon Pigg). She experiences this relationship in admirable PG-13 terms, and during her season with the Hurl Scouts learns much about her physical and personality strengths. Odd as it may seem, her roller derby experience is a coming-of-age process.

Ellen Page, still only 22, is the real thing. To see her in this, Juno and Hard Candy (2005) is to realize she’s fearless, completely in command of her gifts, and will be around for a long time. To learn that she will play the lead in a BBC Films production of Jane Eyre, being produced by Alison Owen (Elizabeth) seems only natural.

Yes, the movie has cliches. Yes, it all leads up to a big game. Yes, there is a character’s validating appearance near the end. Yes, and so what? The movie is miles more intelligent than most of the cream of wheat marketed to teenage girls. Funnier, more exciting, even liberating. Barrymore, in her debut as a director, shows she must have been paying attention ever since Spielberg cast her when she was five. She and her team do an especially effective job in staging the derby showdowns.

There are rules to roller derby, but the movie doesn’t linger over the details. Basically, you go around as fast as you can, try to stay on your feet, protect your teammates and clobber your opponents. In the last decade, the optional form of the sport has morphed into a sort of gothic-punk-warrior woman hybrid, with much invention going into the outrageous costumes. Which doesn’t mean you don’t get hurt when you’re slammed.